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Means on dyadic symmetrie sets and polar decompositions

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Abstract

In this paper we develop the theory of the geometric mean and the spectral mean on dyadic symmetric sets, an algebraic generalization of symmetric spaces of noncompact type, and apply them to obtain decomposition theorems of involutive systems. In particular we show for involutive dyadic symmetric sets: every involutive dyadic symmetric set admits a canonical polar decomposition with factors the geometric and spectral means.

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Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA

    J. lawson

  2. Department of Mathematics, Kyungpook National University, 702-701, Taegu, Korea

    Y. Lim

Authors
  1. J. lawson
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  2. Y. Lim
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Correspondence to J. lawson or Y. Lim.

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A. Kreuzer

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lawson, J., Lim, Y. Means on dyadic symmetrie sets and polar decompositions. Abh.Math.Semin.Univ.Hambg. 74, 135–150 (2004). https://doi.org/10.1007/BF02941530

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  • DOI: https://doi.org/10.1007/BF02941530

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